REDUCIBILITY OF MATRIX POLYNOMIALS AND THEIR TRACES.
Abstract
For nxn matrices, we show the reducibility in degree of certain products of matrix variables and their traces, thus generalizing from two- and three-dimensional space some results used by Rivlin, Smith, and Spencer to get an orthogonal integrity basis for second-rank symmetric tensors. In particular we show the reducibility for n > 3 of any product of 2n-1 matrices and of its trace. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1966
- Accession Number
- AD0635446
Entities
People
- John S. Lew
Organizations
- Brown University